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math.GR2025
On dissociated infinite permutation groups
Rémi Barritault, Colin Jahel, Matthieu Joseph
The goal of this paper is threefold. First, we describe the notion of dissociation for closed subgroups of the group of permutations on a countably infinite set and explain its num…
math.GR2024
Unitary Representations of the Isometry Groups of Urysohn Spaces
Rémi Barritault, Colin Jahel, Matthieu Joseph
We obtain a complete classification of the continuous unitary representations of the isometry group of the rational Urysohn space . As a consequence, we show…